Application of a generic domain-decomposition strategy to solve shell-like problems through 3D BE models.
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2007
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Resumo
Efficient integration algorithms and solvers specially devised for boundary-element procedures have been
established over the last two decades. A good deal of quadrature techniques for singular and quasisingular
boundary-element integrals have been developed and reliable Krylov solvers have proven to be
advantageous when compared to direct ones, also in case of non-Hermitian matrices. The former has
implied in CPU-time reduction during the assembling of the system of equations and the latter in its faster
solution. Here, a triangular polar co-ordinate transformation and the Telles co-ordinate transformation
are employed separately and combined to develop the matrix-assembly routines (integration routines). In
addition, the Jacobi-preconditioned Biconjugate Gradient solver (J-BiCG) is used along with a generic
substructuring boundary element algorithm. Thus, solution CPU time and computer memory can be
considerably reduced. Discontinuous boundary elements are also included to simplify the coupling of the
BE models (substructures). Numerical experiments involving 3D thin-walled domains (shell-like structural
elements) are carried out to show the performance of the computer code with respect to accuracy and
efficiency of the system solution. Precision, CPU-time and potential applications of the BE code developed
are commented upon.
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Shell-like elements, Singular and quasi-singular integration algorithms, Krylov solvers
Citação
ARAÚJO, F. C. de; SILVA, K. I. da; TELLES, J. C. de F. Application of a generic domain-decomposition strategy to solve shell-like problems through 3D BE models. Communications in Numerical Methods in Engineering, v. 23, p. 771-785, 2007. Disponível em: <http://onlinelibrary.wiley.com/doi/10.1002/cnm.926/abstract>. Acesso em: 20 jul. 2017.